In each of the following problems, you are given a point p and a non-zero vector...
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In each of the following problems, you are given a point p and a non-zero vector n in R2 or R3. Give a standard equation for the line in R2 or the plane in R3 which contains the point p and is normal to the vector n. a) Determine the points of intersection, if any, of the plane given by x+2y+5z8 = 0 and the line given by (x, y, z)=(3, 0, 7) + t(1, 1, 1). b) Find the x-, y-, and z-intercepts of the plane which contains the point (2,4,1) and which is normal to the vector (1, 1, 1). In each of the following problems, you are given a point p and a non-zero vector n in R2 or R3. Give a standard equation for the line in R2 or the plane in R3 which contains the point p and is normal to the vector n. a) Determine the points of intersection, if any, of the plane given by x+2y+5z8 = 0 and the line given by (x, y, z)=(3, 0, 7) + t(1, 1, 1). b) Find the x-, y-, and z-intercepts of the plane which contains the point (2,4,1) and which is normal to the vector (1, 1, 1).
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Related Book For
Statistics For Business And Economics
ISBN: 9780134506593
13th Edition
Authors: James T. McClave, P. George Benson, Terry Sincich
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